Distributions for time-frequency analysis: A generalization of Choi-Williams & the Butterworth distribution

Antonia Papandreou, G. Faye Boudreaux-Bartels

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Scopus citations


The authors generalize the Choi-Williams (1989) time-frequency exponential distribution (ED) and propose the Butterworth distribution (BUD). The kernels of both act as 2-D lowpass filters in the ambiguity function plane with variable filter characteristics. Increasing the order parameters results in flatter passbands and narrower transition regions, approaching ideal lowpass filters. The scaling parameters can be selected to scale the kernel's passband edge or stopband edge. It is shown that the BUD and the GED satisfy all the desirable properties of the ED, and optimum design equations for the BUD kernel parameters are derived. An optional order parameter quantization is discussed, and examples that demonstrate the superior nature of the GED and the BUD over the ED in removing cross-Terms while retaining desirable auto-Terms are given.

Original languageEnglish (US)
Title of host publicationICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Electronic)0780305329
StatePublished - 1992
Externally publishedYes
Event1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States
Duration: Mar 23 1992Mar 26 1992

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149


Other1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/TerritoryUnited States
CitySan Francisco

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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